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3201000312 = 2331720633803
BaseRepresentation
bin1011111011001011…
…0110001101111000
322021002020122221010
42332302312031320
523023424002222
61245344313520
7142216024266
oct27662661570
98232218833
103201000312
1113a2976a04
127540128a0
133c022bc33
142251a9436
1513b04980c
hexbecb6378

3201000312 has 64 divisors (see below), whose sum is σ = 8479572480. Its totient is φ = 1003484672.

The previous prime is 3201000311. The next prime is 3201000317. The reversal of 3201000312 is 2130001023.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3201000311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 839803 + ... + 843605.

It is an arithmetic number, because the mean of its divisors is an integer number (132493320).

Almost surely, 23201000312 is an apocalyptic number.

It is an amenable number.

3201000312 is an abundant number, since it is smaller than the sum of its proper divisors (5278572168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3201000312 is a wasteful number, since it uses less digits than its factorization.

3201000312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5892 (or 5888 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 3201000312 is about 56577.3833965481. The cubic root of 3201000312 is about 1473.7661326641.

Adding to 3201000312 its reverse (2130001023), we get a palindrome (5331001335).

The spelling of 3201000312 in words is "three billion, two hundred one million, three hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 2063 3803 4126 6189 7606 8252 11409 12378 15212 16504 22818 24756 30424 35071 45636 49512 64651 70142 91272 105213 129302 140284 193953 210426 258604 280568 387906 420852 517208 775812 841704 1551624 7845589 15691178 23536767 31382356 47073534 62764712 94147068 133375013 188294136 266750026 400125039 533500052 800250078 1067000104 1600500156 3201000312